sin2(-α)+tan(2π+α)cos2(π+α)-sin(2π-α)cos(π+α)cos2(π+α)化简 求助各位大神!

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sin2(-α)+tan(2π+α)cos2(π+α)-sin(2π-α)cos(π+α)cos2(π+α)化简求助各位大神!sin2(-α)+tan(2π+α)cos2(π+α)-sin(2π-α)

sin2(-α)+tan(2π+α)cos2(π+α)-sin(2π-α)cos(π+α)cos2(π+α)化简 求助各位大神!
sin2(-α)+tan(2π+α)cos2(π+α)-sin(2π-α)cos(π+α)cos2(π+α)化简 求助各位大神!

sin2(-α)+tan(2π+α)cos2(π+α)-sin(2π-α)cos(π+α)cos2(π+α)化简 求助各位大神!
原式
=-sin2a+tanacos2a-sinacosacos2a
=-2sinacosa+(sina/cosa)*(2cos²a-1)-(2sinacosacos2a)/2
=-2sinacosa+(2sinacosa-sina/cosa)-(sin2acos2a)/2
=-sina/cosa-(2sin2acos2a)/4
=-tana-(sin4a)/4